Question 1203142
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First we compute the future value of depositing periodic payments of $200 a month for 4*12 = 48 months.

{{{FV = P*((1+i)^n - 1)/i}}}


{{{FV = 200*((1+0.08/12)^48 - 1)/(0.08/12)}}} (note that i = 0.08/12)


{{{FV = 11269.9830130137}}}


{{{FV = 11269.98}}}


The account is valued at $11,269.98 after the four years are up.


That money is then treated as a deposit into an account with the same interest rate and compounding frequency.
The money is not touched for 21 years (aka 21*12 = 252 months)


Use the compound interest formula
{{{A = P*(1+r/n)^(n*t)}}}


{{{A = 11269.98*(1+0.08/12)^(12*21)}}}


{{{A = 60133.5137078229}}}


{{{A = 60133.51}}}


Answer: <font color=red>$60,133.51</font>
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